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The majority of studies on self-propelled particles and microswimmersconcentrates on objects that do not feature a deterministic bending of theirtrajectory. However, perfect axial symmetry is hardly found in reality, andshape-asymmetric active microswimmers tend to show a persistent curvature oftheir trajectories. Consequently, we here present a particle-scale statisticalapproach of circle-swimmer suspensions in terms of a dynamical densityfunctional theory. It is based on a minimal microswimmer model and,particularly, includes hydrodynamic interactions between the swimmers. Afterderiving the theory, we numerically investigate a planar example situation ofconfining the swimmers in a circularly symmetric potential trap. There, we findthat increasing curvature of the swimming trajectories can reverse thequalitative effect of active drive. More precisely, with increasing curvature,the swimmers less effectively push outwards against the confinement, butinstead form high-density patches in the center of the trap. We conclude thatthe circular motion of the individual swimmers has a localizing effect, also inthe presence of hydrodynamic interactions. Parts of our results could beconfirmed experimentally, for instance, using suspensions of L-shaped circleswimmers of different aspect ratio.

Dynamical density functional theory for circle swimmers